Applied Mathematics & Information Sciences
Article Title
Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case
Abstract
In the present paper, we prove equality of the wave equation for Modulation Instability and Vlasov kinetic equation. On the basis of Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of classical kinetic equations, the kinetic equations for any number of Modulation Instabilities are defined and the method a solution for these equations is proposed.
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/160305
Recommended Citation
Yu. Rasulova, Mukhayo
(2022)
"Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case,"
Applied Mathematics & Information Sciences: Vol. 16:
Iss.
3, Article 5.
DOI: http://dx.doi.org/10.18576/amis/160305
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol16/iss3/5